Question

What is the electric power state, its unit and dimension?

Answer 1

Hint: Electrical power is the rate of transfer of electrical energy by an electrical circuit per unit time in physics. Electrical energy can be either kinetic or potential energy in this case. Potential energy, which is the energy stored due to the relative locations of charged particles or electric fields, is used in most circumstances. The letter \[P\] stands for electrical power, which is measured in Watts.

Complete step by step answer:
Electric power, like mechanical power, is the rate at which work is completed, measured in watts and symbolised by the letter \[P\] . Wattage is a colloquial phrase that means "electric power in watts." An electric current \[I\] carrying a charge of \[Q\] coulombs per \[t\] seconds flowing through an electric potential (voltage) differential of \[V\] produces an electric power in watts.
$P = \text{work done per unit time} \\
\Rightarrow P = \dfrac{W}{t} \\
\Rightarrow P = \dfrac{W}{Q}\dfrac{Q}{t} \\
\Rightarrow P = VI$
Where, the electric charge \[Q\] is measured in coulombs, \[t\] is the number of seconds in a minute, \[I\] stands for amperes of electric current and \[V\] stands for voltage or electric potential in volts.

The watt, or one joule per second, is the SI unit of power and its dimension is as follows
$P = \dfrac{W}{T} = \dfrac{{F \times s}}{T} \\
\Rightarrow \left[ P \right] = \dfrac{{\left[ {ML{T^{ - 2}}} \right]\left[ L \right]}}{{\left[ T \right]}} \\
\therefore \left[ P \right]= \left[ {M{L^2}{T^{ - 3}}} \right] $

Hence, the unit of electric power is watt and dimension is $\left[ {M{L^2}{T^{ - 3}}} \right] $.

Additional information: Electric power is widely employed in industrial, commercial, and consumer applications because it is generated at central generating stations and supplied across an electrical transmission grid. A country's per capita electric power consumption is linked to its industrial development. Electric motors propel subways and railway trains and power manufacturing gear.

Note: Electric lighting, it should be noted, is the most common type of artificial light.In processes such as the extraction of aluminium from its ores and the manufacturing of steel in electric arc furnaces, electrical energy is directly utilised.